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Finding the Fourth Proportional to 10,336.76, 14,268.44 and 6,145

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Solution

The fourth proportional to 10,336.76, 14,268.44 and 6,145 is: 8,482.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,336.76 : 14,268.44 = 6,145 : x
  2. Step 2: Convert to fraction form
    10,336.76/14,268.44 = 6,145/x
  3. Step 3: Cross multiply
    10,336.76x = 14,268.44 × 6,145
  4. Step 4: Simplify right side
    10,336.76x = 87,679,563.80
  5. Step 5: Solve for x
    x = 87,679,563.80/10,336.76
  6. Step 6: Final answer
    x = 8,482.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.